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Dec 05, 2024
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MATH 145 - Calculus for Business and Social Science Credits: 4 Lecture Contact Hours: 4 Description: The main topics of this course are differentiation of algebraic, exponential and logarithmic functions; curve sketching; optimization; constrained optimization; integration; introduction to functions of several variables; and applications.
Prerequisites: MATH 126 with a minimum grade of 2.0 or a minimum score of 23 ACT-Math, 29 SAT-Math, 103 CPT-College-Level Math or 250 NGA-Advanced Algebra and Functions. Corequisites: None. Recommended: None.
Course Category: Liberal Arts | Mathematics This course counts toward Schoolcraft’s General Education Requirements. This course counts toward a Michigan Transfer Agreement General Education Requirement.
This Course is Typically Offered: Winter, Spring, Fall Check Course Availability
Course Competencies
- Solve a variety of practical problems, including but not limited to, problems of production, growth, decay and compound interest, using algebraic, exponential and logarithmic functions.
- Compare the concepts of limit and derivative of a function verbally, graphically, numerically or analytically.
- Compute manually the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
- Interpret the meanings of the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
- Determine an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
- Interpret the meaning of an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
- Apply methods of differentiation to solve a variety of practical problems, including but not limited to, problems of optimization.
- Compare the concepts of limit and integral of a function verbally, graphically, numerically or analytically.
- Compute manually the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
- Interpret the meanings of the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
- Determine an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
- Interpret the meaning of an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
- Apply methods of integration to solve a variety of practical problems, including but not limited to, problems of accumulated income.
- Compute manually the precise partial derivatives of algebraic, exponential and logarithmic function of several variables at selected points.
- Interpret the meanings of the precise partial derivatives of algebraic, exponential and logarithmic functions of several variables at selected points.
- Apply methods of partial differentiation to solve practical problems of constrained optimization.
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